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Finding the Fourth Proportional to 3,142.26, 4,713.98 and 1,498.92

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Solution

The fourth proportional to 3,142.26, 4,713.98 and 1,498.92 is: 2,248.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.26 : 4,713.98 = 1,498.92 : x
  2. Step 2: Convert to fraction form
    3,142.26/4,713.98 = 1,498.92/x
  3. Step 3: Cross multiply
    3,142.26x = 4,713.98 × 1,498.92
  4. Step 4: Simplify right side
    3,142.26x = 7,065,888.68
  5. Step 5: Solve for x
    x = 7,065,888.68/3,142.26
  6. Step 6: Final answer
    x = 2,248.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.